Answer:
(a) Equation: 
(b) 7.5 gallons
Step-by-step explanation:
Given
Current Gas = 10 gallon
Every Hour = -1.25 gallon
Solving for (a): An equation for the scenario
This question represents an Arithmetic Progression and will be solved using the following formula:
Where
Substitute these values in the formula
Collect Like Terms
Solving for (b): In this case, n - 3
Substitute 3 for n in
<em>7.5 gallon of gas left</em>
Answer:
I'm going to use the Pythagoras theorem
1. hypotenus²= base²+height²
h²=80²+18²
h²=6400+324
√h²=√6724
hypotenuse= 82
2. 53²=45²+h²
2809=2025+h²
2809-2025=h²
784=h²
√784=√h²
h=28
3. 40²=b²+24²
1600=b²+576
1600-576=b²
√1024=√b²
b= 32
<span>When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:1) Square all 3 sides.36, 27, 61
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1,296, </span></span></span>
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729, </span></span></span>
<span>
<span>
<span>
3,721
</span>
</span>
</span>
<span><span>
</span>
</span>
<span><span>
</span>
</span>
<span><span>2) Sum the squares of the 2 shortest sides.1,296 + 729 = 2,025
3) Compare this sum to the square of the 3rd side.2,025 < 3,721
if sum > 3rd side² Acute Triangleif sum = 3rd side² Right Triangleif sum < 3rd side² Obtuse TriangleTherefore, it is an Obtuse TriangleSource:http://www.1728.org/triantest.htm
</span></span>
Answer:
well its a triangle so
40 divide by 20 is 2
but you have to mutiply that 2 by 2
Step-by-step explanation:
4
The first step to do is to calculate first the total
household waste generate for the two years. That is:
total waste generated = 23,400,000 tons + 48,100,000 tons
total waste generated = 71,500,000 tons
Now, to write either a very big number or a very small number
in a form of scientific notation simply means to write it in a decimal form
such as: 12.5 * 10^10
Now to write 71,500,000 in scientific notation, the decimal
form is 7.15, however we still need to find out the * 10^n factor. The value of
n depends on the number of places the decimal point was moved. If the movement
was from right to left, the value of n is positive and if the movement was from
right to left, the value of n is negative. Since the decimal point was moved by
7 places, hence the complete scientific notation is:
7.15 * 10^7 tons
